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Finding the Third Proportional to 264,879 and 579,812

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Solution

The third proportional to 264,879 and 579,812 is: 1,269,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,879 : 579,812 = 579,812 : x
  2. Step 2: Convert to fraction form
    264,879/579,812 = 579,812/x
  3. Step 3: Cross multiply
    264,879x = 579,812 × 579,812
  4. Step 4: Simplify right side
    264,879x = 336,181,955,344
  5. Step 5: Solve for x
    x = 336,181,955,344/264,879
  6. Step 6: Final answer
    x = 1,269,190.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.